On the Kinematic Probability of Terminal Ballistics with Initial Dispersion

Abstract

The terminal ballistic dispersion of a non-rotational, small-caliber weapon system is obtained on a priori knowledge of the initial dispersion induced by the weapon system proper. The study considers a dynamic system whose behavior is governed by a system of differential equations having probabilistic initial conditions. The behavior of the system, in terms of the kinematic probability, is then determined as a function of time and spatial variables. Subsequently, in contrast to the customary method in the evaluation of weapon system effectiveness, a measure of effectiveness - probability of hit - is obtained as a function of initial dispersion. Also, numerical examples as well as discussion of the results are given.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1970
Accession Number
AD0714647

Entities

People

  • H. M. Hung
  • J. T. Wong

Tags

DTIC Thesaurus Topics

  • Ballistics
  • Cartesian Coordinates
  • Differential Equations
  • Equations
  • Linear Systems
  • Mach Number
  • Nonlinear Systems
  • Partial Differential Equations
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Systems Analysis
  • Terminal Ballistics
  • Test And Evaluation
  • Weapon System Effectiveness
  • Weapon Systems
  • Weapons

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • ballistics.